Question

Formula1" title=" \binom{4a + 3}{5} - \binom{2a + 3}{3} " alt=" \binom{4a + 3}{5} - \binom{2a + 3}{3} " align="absmiddle" class="latex-formula">
simplify the fraction
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Answer 1

I assume your question was to simplify the following fraction ;

${:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}$

Taking LCM will yield ;

${:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}$

${:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}$

${:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}$

This is the required answer